582072 has 32 divisors (see below), whose sum is σ = 1478400. Its totient is φ = 190944.

The previous prime is 582067. The next prime is 582083. The reversal of 582072 is 270285.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

582072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1743 + ... + 2049.

It is an arithmetic number, because the mean of its divisors is an integer number (46200).

2⁵⁸²⁰⁷² is an apocalyptic number.

It is an amenable number.

582072 is an abundant number, since it is smaller than the sum of its proper divisors (896328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

582072 is a wasteful number, since it uses less digits than its factorization.

582072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 582072 is about 762.9364324765. The cubic root of 582072 is about 83.4946988878.

The spelling of 582072 in words is "five hundred eighty-two thousand, seventy-two".